Properties of the Pushforward Map on Test Functions, Measures and Distributions

Forskningsoutput: AvhandlingDoktorsavhandling (monografi)

Abstract

The subject of this thesis is the pushforward map on compactly supported distributions induced by a smooth mapping. Being the adjoint of the natural pullback operation on the class of smooth functions, the pushforward map is always well-defined, and as such it must be regarded as one of the fundamental operations of distribution theory.

This thesis has two main aims: The first of these is to give a clear exposition of the properties of the pushforward map associated with a smooth map between open subsets of Euclidean space. The second aim is to investigate the connection between the pushforward by a function f and the asymptotic behavior at infinity of oscillatory integrals with f as phase function. Particular attention will be paid to Palamodov's conjecture (in the category of smooth functions), to which we give some partial answers.

Detaljer

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
KvalifikationDoktor
Tilldelande institution
Handledare/Biträdande handledare
  • [unknown], [unknown], handledare, Extern person
Tilldelningsdatum2002 apr 26
Förlag
  • Niels Chr. Overgaard, Centre of Mathematical Sciences, Dept. of Mathematics,
Tryckta ISBN91-628-5013-X
StatusPublished - 2002
PublikationskategoriForskning